Determine whether the given vectors are linearly independent
（１）
[1] [3] [6]
[1] ，[2] ，[5]
[1] [1] [4]
（２）
[1] [1] [1]
[1] ，[2] ，[3]
[1] [3] [6]
判斷這些向量是否線性獨立?
如何判斷?
線性代數之線性獨立
2009-10-27 9:13 am
回答 (1)
2009-10-27 9:42 am
✔ 最佳答案
Both cases are 3 3-d vectors so the easiest way is to check determinant of the corresponding 3 by 3 matix. Since det A=0 in (1) , the 3 vectors are linearly dependent; det A=1(not 0) in (2) so the 3 vectors there are linearly independent.
收錄日期: 2021-04-23 23:04:49
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20091027000016KK00590